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5434057464 = 23311237271231
BaseRepresentation
bin1010000111110010…
…10010001011111000
3112000201010201110120
411003321102023320
542112104314324
62255114413240
7251442504063
oct50371221370
915021121416
105434057464
112339424890
121077a31220
13687a65c24
143979ad8da
1521c0e6179
hex143e522f8

5434057464 has 128 divisors (see below), whose sum is σ = 15498362880. Its totient is φ = 1571644800.

The previous prime is 5434057459. The next prime is 5434057469. The reversal of 5434057464 is 4647504345.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5434057459) and next prime (5434057469).

It is a super-2 number, since 2×54340574642 = 59057961044108222592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434057469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4413729 + ... + 4414959.

It is an arithmetic number, because the mean of its divisors is an integer number (121080960).

Almost surely, 25434057464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434057464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749181440).

5434057464 is an abundant number, since it is smaller than the sum of its proper divisors (10064305416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5434057464 is a wasteful number, since it uses less digits than its factorization.

5434057464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The square root of 5434057464 is about 73716.0597427725. The cubic root of 5434057464 is about 1758.0912355694.

The spelling of 5434057464 in words is "five billion, four hundred thirty-four million, fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 727 759 1012 1231 1454 1518 2024 2181 2462 2908 3036 3693 4362 4924 5816 6072 7386 7997 8724 9848 13541 14772 15994 16721 17448 23991 27082 28313 29544 31988 33442 40623 47982 50163 54164 56626 63976 66884 81246 84939 95964 100326 108328 113252 133768 162492 169878 183931 191928 200652 226504 311443 324984 339756 367862 401304 551793 622886 679512 735724 894937 934329 1103586 1245772 1471448 1789874 1868658 2207172 2491544 2684811 3579748 3737316 4414344 5369622 7159496 7474632 9844307 10739244 19688614 20583551 21478488 29532921 39377228 41167102 59065842 61750653 78754456 82334204 118131684 123501306 164668408 226419061 236263368 247002612 452838122 494005224 679257183 905676244 1358514366 1811352488 2717028732 5434057464